3 papers
math.DS2026
Birkhoff Measures, Birkhoff Sums, and Discrepancies
D. Ralston, F. M. Tangerman, J. J. P. Veerman +1
We study the distribution of a sequence of points in the circle generated by rotations by a fixed irrational number with initial condition , that is: $\{x_0+iÏ\}_{i=1}^n…
math.DS2025
On a tree of rational functions related to continued fractions
Niels Langeveld, David Ralston
In this article, we present a binary tree with vertices given by rational functions ; the root and functional derivation of children are inspired by continued fractions.…
math.DS2024
On Convergents of Proper Continued Fractions
Niels Langeveld, David Ralston
Proper continued fractions are generalized continued fractions with positive integer numerators and integer denominators with . In this paper we study the streng…